523545120 has 480 divisors, whose sum is σ = 2195424000. Its totient is φ = 114960384.

The previous prime is 523545119. The next prime is 523545157. The reversal of 523545120 is 21545325.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2630781 + ... + 2630979.

It is an arithmetic number, because the mean of its divisors is an integer number (4573800).

Almost surely, 2^523545120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 523545120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097712000).

523545120 is an abundant number, since it is smaller than the sum of its proper divisors (1671878880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

523545120 is a wasteful number, since it uses less digits than its factorization.

523545120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 523545120 is about 22881.1083647624. The cubic root of 523545120 is about 805.9684446841.

The spelling of 523545120 in words is "five hundred twenty-three million, five hundred forty-five thousand, one hundred twenty".